The theory of axial tomography based on the inverse Radon transform for high-aperture soft X-ray microscopy
Gaikovich K.P.1, Malyshev I.V.1, Reunov D.G.1, Chkhalo N.I.1
1Institute for Physics of Microstructures, Russian Academy of Sciences, Nizhny Novgorod, Russia
Email: ilya-malyshev@ipmras.ru
For soft X-ray microscopy in the approximation of geometrical optics, a theoretical model for the formation of the received image is constructed - a relationship is found between the image recorded on the detector and the 3D distribution of the sample absorption index using a high-aperture mirror objective (NA > 0.3) with a focus depth close to the diffraction limit. The solution of the inverse problem of tomography for determining this 3D distribution from the data of measurements in a high-aperture mirror SXR-microscope is obtained. Keywords: soft x-ray microscopy, inverse problem of microscopy, absorption contrast imaging. DOI: 10.61011/TP.2023.07.56620.106-23
- E. Hanssen, C. Knoechel, M. Dearnley, M.W.A. Dixon, M. Le Gros, C. Larabel, L. Tilley. J. Structural Biol., 177, 224 (2012)
- D. Sage, L. Donati, F. Soulez, D. Fortun, G. Schmit, A. Seitz, R. Guiet, C. Vonesch, M. Unser. Methods, 115, 28 (2017)
- G. Vicidomini, P. Bianchini, A. Diaspro. Nat. Methods, 15, 173 (2018)
- V. Luv cic, A. Rigort, W. Baumeister. J. Cell Biol., 202 (3), 407 (2013)
- K.E. Leigh, P.P. Navarro, S. Scaramuzza, W. Chen, Y. Zhang, D. Castano-Diez, M. Kudryashev. Methods Cell Biol., 152, 217 (2019). DOI: 10.1016/bs.mcb.2019.04.003
- P.A.C. Takman, H. Stollberg, G.A. Johansson, A. Holmberg, M. Lindblom, H.M. Hertz. J. Microscopy, 226, 175 (2007)
- C.A. Larabell, M.A. Le Gros. Molecular Biol. Cell, 15, 957 (2004)
- D. Weib, G. Schneider, B. Niemann, P. Guttmann, D. Rudolph, G. Schmah. Ultramicroscopy, 84, 185 (2000)
- M. Bertilson, O. von Hofsten, U. Vogt, A. Holmberg, E. Athanasia, Christakou, H.M. Hertz. Opt. Lett., 36 (14), 2728 (2011)
- M. Bertilson, O. von Hofsten, U. Vogt, A. Holmberg, H.M. Hertz. Opt. Expr., 17 (13), 11057 (2009)
- M. Toyoda, K. Yamasoe, T. Hatano, M. Yanagihara, A. Tokimasa, T. Harada, T. Watanabe, H. Kinoshita. Appl. Phys. Express., 5 (11), 112501 (2012)
- L. Juschkin, R. Freiberger, K. Bergmann. J. Phys.: Conf. Ser., 186, 012030 (2009).
- A. Torrisi, P. Wachulak, . Wegrzyn'ski, T. Fok, A. Bartnik, T. Parkman, v S. Vondrova, J. Turv nova, B.J. Jankiewicz, B. Bartosewicz, H. Fiedorowicz. J. Microscopy, 00 (0), 1 (2016). DOI: 10.1111/jmi.12494
- P.W. Wachulak, A. Torrisi, A. Bartnik, . Wegrzyn'ski, T. Fok, H. Fiedorowicz. Appl. Phys. B, 123, 25 (2017)
- T. Ejima, F. Ishida, H. Murata, M. Toyoda, T. Harada, T. Tsuru, T. Hatano, M. Yanagihara, M. Yamamoto, H. Mizutani. Opt. Express, 18 (7), 7203 (2010)
- I.V. Malyshev, D.G. Reunov, N.I. Chkhalo. Opt. Expr., 30 (26), 47567 (2022). DOI: 10.1364/OE.475032
- A.V. Vodop'yanov, S.A. Garakhin, I.G. Zabrodin, S.Yu. Zuev, A.Ya. Lopatin, A.N. Nechay, A.E. Pestov, A.A. Perekalov, R.S. Pleshkov, V.N. Polkovnikov. Quantum Electronicsthis, 51 (8), 700 (2021)
- I.V. Malyshev, A.E. Pestov, V.N. Polkovnikov, N.N. Salashchenko, M.N. Toporov, N.I. Chkhalo. Poverkhnost: rentgenovskie, sinkhrotronnye i neytronnye issledovaniya, 1, 3 (2019)
- N.I. Chkhalo, M.N. Drozdov, E.B. Kluenkov, S.V. Kuzin, A.Ya. Lopatin, V.I. Luchin, N.N. Salashchenko, N.N. Tsybin, S.Yu. Zuev. Appl. Optics, 55 (17), 4683 (2016)
- J. Radon. Akad. Wiss., 69, 262 (1917)
- A.N. Tikhonov, V.Ya. Arsenin. Metody resheniya nekorrektnykh zadach (Nauka, M., 1986) (in Russian)
- A.N. Tikhonov, V.Ya. Arsenin, A.A. Timonov. Matematicheskie zadachi komp'yuternoj tomografii (Nauka, M., 1987) (in Russian)
- A.N. Tikhonov, A.V. Goncharsky, I.V. Kochikov, E.I. Rau, D.O. Savin, G.V. Spivakov, V.V. Stepanov. Dokl. AN SSSR, 289 (5), 1104 (1986) (in Russian)
- A.N. Tikhonov, P.N. Bochikashvili, A.V. Goncharsky, A.N. Matvienko, E.I. Rau, D.O. Savin, V.V. Stepanov. Dokl. AN SSSR, 296 (5), 1095 (1987) (in Russian)
- K.P. Gaikovich, P.K. Gaikovich, Ye.S. Maksimovitch, V.A. Badeev. Phys. Rev. Lett., 108 (16), 163902 (2012)
- K.P. Gaikovich. Inverse Problems in Physical Diagnostics (Nova Science Publishers Inc., NY., 2004)
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